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Finding the Fourth Proportional to 188,166.34, 259,667.34 and 102,125.47

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Solution

The fourth proportional to 188,166.34, 259,667.34 and 102,125.47 is: 140,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,166.34 : 259,667.34 = 102,125.47 : x
  2. Step 2: Convert to fraction form
    188,166.34/259,667.34 = 102,125.47/x
  3. Step 3: Cross multiply
    188,166.34x = 259,667.34 × 102,125.47
  4. Step 4: Simplify right side
    188,166.34x = 26,518,649,141.15
  5. Step 5: Solve for x
    x = 26,518,649,141.15/188,166.34
  6. Step 6: Final answer
    x = 140,931.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.